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Finding the Fourth Proportional to 2,877.87, 4,307.09 and 1,783.16

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Solution

The fourth proportional to 2,877.87, 4,307.09 and 1,783.16 is: 2,668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.87 : 4,307.09 = 1,783.16 : x
  2. Step 2: Convert to fraction form
    2,877.87/4,307.09 = 1,783.16/x
  3. Step 3: Cross multiply
    2,877.87x = 4,307.09 × 1,783.16
  4. Step 4: Simplify right side
    2,877.87x = 7,680,200.15
  5. Step 5: Solve for x
    x = 7,680,200.15/2,877.87
  6. Step 6: Final answer
    x = 2,668.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.